Boris Shoikhet

Deformation Quantization with Traces

AbstractIn this Letter we prove a statement closely related to the cyclic formality conjecture. In particular, we prove that for a constant volume form Ω and a Poisson bivector field π on

Riemann-Roch-Hirzebruch theorem and Topological Quantum Mechanics

\mathbb{R}

Cohomology of the Lie algebras of differential operators: lifting formulas

d such that divΩπ=0, the Kontsevich star product with the harmonic angle function is cyclic, i.e.

An explicit deformation theory of (co)associative bialgebras

\int {_{\mathbb{R}^d } }

Koszul duality in deformation quantization, I

(f*g)·h·Ω=∫